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Journal of Inequalities and Applications最新文献

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A new reverse Mulholland’s inequality with one partial sum in the kernel 内核中有一个部分和的新的反向穆赫兰不等式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-24 DOI: 10.1186/s13660-024-03080-x
Xianyong Huang, Ricai Luo, Bicheng Yang, Xingshou Huang
{"title":"A new reverse Mulholland’s inequality with one partial sum in the kernel","authors":"Xianyong Huang, Ricai Luo, Bicheng Yang, Xingshou Huang","doi":"10.1186/s13660-024-03080-x","DOIUrl":"https://doi.org/10.1186/s13660-024-03080-x","url":null,"abstract":"By means of the techniques of real analysis, applying some basic inequalities and formulas, a new reverse Mulholland’s inequality with one partial sum in the kernel is given. We obtain the equivalent conditions of the parameters related to the best value in the new inequality. As applications, we reduce to the equivalent forms and a few inequalities for particular parameters.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"40 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139553446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces 巴拿赫空间中广义多集分割可行性问题的惯性哈尔珀恩型迭代算法
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-19 DOI: 10.1186/s13660-024-03082-9
Mohammad Eslamian
{"title":"Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces","authors":"Mohammad Eslamian","doi":"10.1186/s13660-024-03082-9","DOIUrl":"https://doi.org/10.1186/s13660-024-03082-9","url":null,"abstract":"In this paper, we study the generalized multiple-set split feasibility problem including the common fixed-point problem for a finite family of generalized demimetric mappings and the monotone inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem for the algorithm. Then, we apply our convergence results to the convex minimization problem, the variational inequality problem, the multiple-set split feasibility problem and the split common null-point problem in Banach spaces.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"7 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139509436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The infimum values of two probability functions for the Gamma distribution 伽马分布的两个概率函数的下极值
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-17 DOI: 10.1186/s13660-024-03081-w
Ping Sun, Ze-Chun Hu, Wei Sun
{"title":"The infimum values of two probability functions for the Gamma distribution","authors":"Ping Sun, Ze-Chun Hu, Wei Sun","doi":"10.1186/s13660-024-03081-w","DOIUrl":"https://doi.org/10.1186/s13660-024-03081-w","url":null,"abstract":"Let α, β be positive real numbers and let $X_{alpha ,beta}$ be a Gamma random variable with shape parameter α and scale parameter β. We study infimum values of the function $(alpha ,beta )mapsto P{X_{alpha ,beta}le kappa E[X_{alpha ,beta}] }$ for any fixed $kappa >0$ and the function $(alpha ,beta )mapsto P{|X_{alpha ,beta}-E[X_{alpha ,beta}]| le sqrt{operatorname{Var}(X_{alpha ,beta})}}$ . We show that $inf_{alpha ,beta}P{X_{alpha ,beta}le E[X_{alpha ,beta}]}= frac{1}{2}$ and $inf_{alpha ,beta}P{|X_{alpha ,beta}-E[X_{alpha ,beta}]|le sqrt{operatorname{Var}(X_{alpha ,beta})}}=P{|Z|le 1}approx 0.6827$ , where Z is a standard normal random variable.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"3 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139481689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Best proximity points for alternative p-contractions 替代性 p 合同的最佳邻近点
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-16 DOI: 10.1186/s13660-024-03078-5
Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem, Mujahid Abbas
{"title":"Best proximity points for alternative p-contractions","authors":"Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem, Mujahid Abbas","doi":"10.1186/s13660-024-03078-5","DOIUrl":"https://doi.org/10.1186/s13660-024-03078-5","url":null,"abstract":"Cyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a suitable framework for the mirror reflection model. Alternative contraction mappings introduced by Chen (Symmetry 11:750, 2019) built a new model containing several mirrors in which the light reflected from a mirror does not go to the next mirror sequentially, and its path may diverge to any other mirror. The aim of this paper is to present a new variant of alternative contraction called alternative p-contraction and study its properties. The best proximity point result for such contractions under the alternative UC property is proved. An example to support the result proved herein is provided.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"38 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139481636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some variants of the hybrid extragradient algorithm in Hilbert spaces 希尔伯特空间混合外梯度算法的一些变体
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-12 DOI: 10.1186/s13660-023-03052-7
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana, Zaffar Iqbal
{"title":"Some variants of the hybrid extragradient algorithm in Hilbert spaces","authors":"Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana, Zaffar Iqbal","doi":"10.1186/s13660-023-03052-7","DOIUrl":"https://doi.org/10.1186/s13660-023-03052-7","url":null,"abstract":"This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of $Bbbk $ -demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants with respect to various real-world applications.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"25 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139463155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator 比例卡普托-混合算子背景下的新中点式不等式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-10 DOI: 10.1186/s13660-023-03075-0
İzzettin Demir, Tuba Tunç
{"title":"New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator","authors":"İzzettin Demir, Tuba Tunç","doi":"10.1186/s13660-023-03075-0","DOIUrl":"https://doi.org/10.1186/s13660-023-03075-0","url":null,"abstract":"Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous fields of mathematics and computer sciences. Due to its wide range of applications, we focus on the proportional Caputo-hybrid operator in this research article. Firstly, we begin by establishing a novel identity for this operator. Then, based on the newfound identity, we establish some integral inequalities that are relevant to the left-hand side of Hermite–Hadamard-type inequalities for the proportional Caputo-hybrid operator. Furthermore, we show how the results improve upon and refine many previous findings in the setting of integral inequalities. Later, we present specific examples together with their related graphs to offer a better understanding of the newly obtained inequalities. Our results not only extend previous studies but also provide valuable viewpoints and methods for tackling a wide range of mathematical and scientific problems.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"52 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139408819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications Jensen-Steffensen 型离散不等式的必要条件和充分条件及其应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-02 DOI: 10.1186/s13660-023-03073-2
László Horváth
{"title":"Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications","authors":"László Horváth","doi":"10.1186/s13660-023-03073-2","DOIUrl":"https://doi.org/10.1186/s13660-023-03073-2","url":null,"abstract":"In this paper we give a necessary and sufficient condition for the discrete Jensen inequality to be satisfied for real (not necessarily nonnegative) weights. The result generalizes and completes the classical Jensen–Steffensen inequality. The validity of the strict inequality is studied. As applications, we first give the form of our result for strongly convex functions, then we study discrete quasi-arithmetic means with real (not necessarily nonnegative) weights, and finally we refine the inequality obtained.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"21 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139078274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pareto vectors of continuous linear operators 连续线性算子的帕雷托向量
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2023-12-21 DOI: 10.1186/s13660-023-03071-4
Francisco Javier García-Pacheco
{"title":"Pareto vectors of continuous linear operators","authors":"Francisco Javier García-Pacheco","doi":"10.1186/s13660-023-03071-4","DOIUrl":"https://doi.org/10.1186/s13660-023-03071-4","url":null,"abstract":"The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology. In this manuscript, we prove that this is the smallest closed submodule and thus replaces the null submodule in the Hausdorff setting. This fact motivates to introduce a new notion in operator theory called topological kernel. Another new concept is also defined that of Pareto optimal element for a family of continuous linear operators between topological modules. It is then proved that topological kernels have a strong influence on the existence of Pareto optimal elements. This work is strongly motivated by the ongoing search for a consistent operator theory on topological modules over general topological rings.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"35 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138823936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains 外部域上带有非线性梯度项的 p-Laplace 方程的径向解
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2023-12-13 DOI: 10.1186/s13660-023-03069-y
Yongxiang Li, Pengbo Li
{"title":"Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains","authors":"Yongxiang Li, Pengbo Li","doi":"10.1186/s13660-023-03069-y","DOIUrl":"https://doi.org/10.1186/s13660-023-03069-y","url":null,"abstract":"This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term $$ textstylebegin{cases} -Delta_{p} u= K( vert x vert ) f( vert x vert , u, vert nabla u vert ) ,quad xinOmega , frac{partial u}{partial n}=0 ,quad xinpartialOmega, lim_{ vert x vert toinfty}u(x)=0 , end{cases} $$ where $Omega={xinmathbb{R}^{N}: |x|>r_{0}}$ , $Nge3$ , $1< ple2$ , $K: [r_{0}, infty)tomathbb{R}^{+}$ , and $f: [r_{0}, infty)timesmathbb{R}timesmathbb{R}^{+}to mathbb{R}$ are continuous. Under certain inequality conditions of f, the existence results of radial solutions are obtained.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"25 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138580192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of q for (ell _{q})-minimization in signal recovery with tight frame 紧帧信号恢复中的 q 最小化估计
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2023-12-11 DOI: 10.1186/s13660-023-03068-z
Kaihao Liang, Chaolong Zhang, Wenfeng Zhang
{"title":"Estimation of q for (ell _{q})-minimization in signal recovery with tight frame","authors":"Kaihao Liang, Chaolong Zhang, Wenfeng Zhang","doi":"10.1186/s13660-023-03068-z","DOIUrl":"https://doi.org/10.1186/s13660-023-03068-z","url":null,"abstract":"This study aims to reconstruct signals that are sparse with a tight frame from undersampled data by using the $ell _{q}$ -minimization method. This problem can be cast as a $ell _{q}$ -minimization problem with a tight frame subjected to an undersampled measurement with a known noise bound. We proved that if the measurement matrix satisfies the restricted isometry property with $delta _{2s}leq 1/2$ , there exists a value $q_{0}$ such that for any $qin (0,q_{0}]$ , any signal that is s-sparse with a tight frame can be robustly recovered to the true signal. We estimated $q_{0}$ as $q_{0} = 2/3$ in the case of $delta _{2s}leq 1/2$ and discussed that the value of $q_{0}$ can be much higher. We also showed that when $delta _{2s}leq 0.3317$ , for any $qin (0,1]$ , robust recovery for signals via $ell _{q}$ -minimization holds, which is consistent with the case of $ell _{q}$ -minimization without a tight frame.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"33 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138567082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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